document.write( "Question 790926: jonathan and samantha paddle their canoe 26 miles downstream in 2 hours. after picnic they paddle upstream. after 3 hours they have traveled only 9 miles back. asuming that they padle at a constant rate and the river current is constant, find the speed at which jonathan and samantha can paddle in still water.. \n" ); document.write( "
Algebra.Com's Answer #479425 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! let s = speed in still water \n" ); document.write( "let c = speed of the current \n" ); document.write( "then \n" ); document.write( "(s+c) = effective speed downstream \n" ); document.write( "and \n" ); document.write( "(s-c) - effective speed upstream \n" ); document.write( ": \n" ); document.write( "Write a distance equation of each way; dist = time * speed \n" ); document.write( ": \n" ); document.write( "\"paddle their canoe 26 miles downstream in 2 hours.\" \n" ); document.write( "2(s+c) = 26 \n" ); document.write( ": \n" ); document.write( "\"they paddle upstream. after 3 hours they have traveled only 9 miles back.\" \n" ); document.write( "3(s-c) = 9 \n" ); document.write( ": \n" ); document.write( "Simplify both equations, divide the first by 2, the 2nd by 3 and you have: \n" ); document.write( "s + c = 13 \n" ); document.write( "s - c = 3 \n" ); document.write( "-----------Addition eliminates c, find s \n" ); document.write( "2s = 16 \n" ); document.write( "s = 8 mph in still water\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |